Tuesday

July 7, 2015

July 7, 2015

**Pre Calculus**

Approximate, to the nearest 0.01 radian, all angles theta in the interval [0,2pi) that satisfy the equation. a.) sin theta=-0.0135 b.) cot theta=-2.731 Thank you for helping! I appreciate it!
*Saturday, January 24, 2015 by Anonymous*

**pre-calculus**

The terminal ray of an angle passes through the point (5,12). What is the value of cosine for this angle?
*Saturday, January 24, 2015 by Anonymous*

**@Steve RE: Relative Extrema: AP Calculus **

Thanks so much for all your help! That was way simpler than I thought, I think I was just overthinking it. Do you think you could also help me find the concave up at x = −2, x = −1, and x = 2 and show f(x) is concave down at x = 0? (this is still for the function f...
*Friday, January 23, 2015 by Pax*

**Relative Extrema: AP Calculus**

Consider the function f(x)= (3/4)x^4-x^3-3x^2+6x Find the relative extrema for f(x); be sure to label each as a maximum or minimum. You do not need to find function values; just find the x-values. Determine the interval(s) where f(x) is increasing (if any) and the interval(s) ...
*Thursday, January 22, 2015 by Pax*

**calculus**

The radius of circular disk is 18cm with a maximum error of 0.2cm. Estimate the maximum error in calculated area of the disk. b) The circumference of a sphere was measured to be 64cm with a maximum error of 0.5. Estimate the maximum error in the calculated surface area of the ...
*Thursday, January 22, 2015 by funmi*

**calculus **

The driver of a car traveling at 60 ft/sec suddenly applies the brakes. The position of the car is s(t) = 50t - 2t2, t seconds after the driver applies the brakes. How many seconds after the driver applies the brakes does the car come to a stop?
*Thursday, January 22, 2015 by Jeff*

**Calculus: Intergration**

Need help intergrating 1dx/[(4x − x^2)^3/2] and 1dx/[x^2√(x^2-9)] Thanks
*Tuesday, January 20, 2015 by Anonymous*

**calculus**

I needed help with this graphing calculator assignment; my sister took my calculator so I don't really have anything to work with, unfortunately. The graphing calculators online are really confusing and seem to require payment to work - so i'm pretty desperate. just ...
*Tuesday, January 20, 2015 by megan*

**calculus**

use a linear approximation to estimate (8.2)^(2/3)
*Monday, January 19, 2015 by Roger*

**Calculus**

Use a linear approximation to estimate (8.2)^(2/3)
*Monday, January 19, 2015 by Ben*

**calculus**

The Snowtree cricket behaves in a rather interesting way: The rate at which it chirps depends linearly on the temperature. One summer evening you hear a cricket chirping at a rate of 160 chirps/minute, and you notice that the temperature is 80°F. Later in the evening, the ...
*Monday, January 19, 2015 by Kita*

**calculus **

If 600 cm2 of material is available to make a box with a square base and a closed top, find the maximum volume of the box in cubic centimeters. Answer to the nearest cubic centimeter without commas. For example, if the answer is 2,000 write 2000.
*Monday, January 19, 2015 by jake*

**Calculus **

A student is drinking a milkshake with a straw from a cylindrical cup with a radius of 5cm. if the student is drinking at a rate of 3.5cm^3 per second, how fast is the level of a milkshake dropping?
*Monday, January 19, 2015 by Ben*

**Calculus**

a student is drinking a milkshake with a straw from a cylindrical cup with a radius of 5cm. if the student is drinking at a rate of 3.5cm^3 per second, how fast is the level of a milkshake dropping?
*Monday, January 19, 2015 by Anonymous*

**Calculus**

Suppose bacteria is growing on a pizza that has been taken out of the refrigerator at a rate that is proportional to the number of bacteria. Suppose there were 50 bacteria when the pizza was removed from the refrigerator and one hour later there were 200 bacteria. How many ...
*Monday, January 19, 2015 by Ben Klotz*

**Pre Calculus **

At a glassware factory, molten cobalt glass is poured into molds to make paperweights. Each mold is a rectanglar prism whose height is 3 inches greater than the length of each side of the square base. A machine pours 20 cubic inches of liquid glass into each mold. What are the...
*Sunday, January 18, 2015 by Nadia*

**Calculus**

1. The radius of a sphere is expanding at a rate of 14 in/min. a) Determine the rate at which the volume is changing when the radius is 8 in. b) Determine the rate at which the surface area is changing when the radius is 8 in. 2. A particle moves along a path described by y=4-...
*Sunday, January 18, 2015 by Anonymous*

**calculus **

A 15-ft ladder rests against a vertical wall. If the top of the ladder slides down the wall at a rate of 0.33 ft/sec, how fast, in ft/sec, is the bottom of the ladder sliding away from the wall, at the instant when the bottom of the ladder is 9 ft from the wall? Answer with 2...
*Saturday, January 17, 2015 by george *

**Calculus**

1. The radius of a sphere is expanding at a rate of 14 in/min. a) Determine the rate at which the volume is changing when the radius is 8 in. b) Determine the rate at which the surface area is changing when the radius is 8 in. 2. A particle moves along a path described by y=4-...
*Saturday, January 17, 2015 by Anonymous*

**calculus **

A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x2h cm3. Find the rate at which the volume of the box is changing when the edge length of the base is 12 cm, the edge length of the base is decreasing at...
*Saturday, January 17, 2015 by george *

**Calculus**

A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x2h cm3. Find the rate at which the volume of the box is changing when the edge length of the base is 10 cm, the edge length of the base is increasing at...
*Friday, January 16, 2015 by Kate*

**calculus **

If f(x) = ι(x2 - 8)ι, how many numbers in the interval 0 ≤ x ≤ 2.5 satisfy the conclusion of the mean value theorem? (4 points) Three Two One None
*Friday, January 16, 2015 by george *

**calculus **

The surface area, S, of a sphere of radius r feet is S = S(r) = 4πr2. Find the instantaneous rate of change of the surface area with respect to the radius r at r = 2. (4 points)
*Friday, January 16, 2015 by george *

**calculus **

What is the instantaneous slope of y =8/x at x = -3? What is the average rate of change of y with respect to x over the interval [-3, 4] for the function y = 2x + 2? The surface area, S, of a sphere of radius r feet is S = S(r) = 4πr2. Find the instantaneous rate of ...
*Friday, January 16, 2015 by Jack P*

**calculus **

If f(x) is differentiable for the closed interval [-3, 2] such that f(-3) = 4 and f(2) = 4, then there exists a value c, -3 < c < 2 such that (4 points) If f(x) = ι(x2 - 8)ι, how many numbers in the interval 0 ≤ x ≤ 2.5 satisfy the conclusion of the...
*Friday, January 16, 2015 by calc*

**calculus **

8. Find the derivative of the function f(x) = cos^2(x) + tan^2(x) 9. Find f '(x) for f(x) = xln(x) - 5ex. 10. Find f '(x) for f (x) = e(^lnx) + e^(x)ln(x) 11. Find the x-coordinate where the graph of the function f(x) = e^(-cosx) has a slope of 0. 12. If the slope of a...
*Thursday, January 15, 2015 by calc*

**calculus **

5. Find the equation of the tangent line to the graph of f(a) = -sec(a) at the point (0, -1) 6. Differentiate y = sin(x)tan(x). 7. Find f '(x) for f(x) = sin(x)cot(x). 8. Find the derivative of the function f(x) = cos^2(x) + tan^2(x) 9. Find f '(x) for f(x) = xln(x) - ...
*Thursday, January 15, 2015 by gerald*

**calculus **

1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = |x + 2| at the point (1, 3) 3. Find f '(x) for f(x) = -2x3 + 3x2 - x + 15. 4. Find all values of x on the graph of f(x) = -...
*Thursday, January 15, 2015 by gerald*

**calculus **

1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = |x + 2| at the point (1, 3) 3. Find f '(x) for f(x) = -2x3 + 3x2 - x + 15. 4. Find all values of x on the graph of f(x) = -...
*Thursday, January 15, 2015 by mock*

**Calculus POwer RUle**

If the slope of the curve y=−kx^3+ 3k at x=-2 is 3, then what is the value of k?
*Wednesday, January 14, 2015 by Anonymous*

**calculus **

Find dy/dx for x2 + y2 = 2xy. 2. If 5x2 + y4 = -9 then evaluate d^2y/dx^2 when x = 2 and y = 1. Round your answer to two decimal places. Use the hyphen symbol, -, for negative values. 3. find dy/dx if f(x)=(x+1)^2x 4. Find the slope of the graph of the relation x2y + 4y = 8 at...
*Wednesday, January 14, 2015 by mock*

**calculus **

If f(x) = 7x^6cos^-1x, find f '(x).
*Wednesday, January 14, 2015 by mock*

**calculus **

1. If f(x) = ln(1 - 2x), then find f '(x) 2. If f(x) = 7x6cos-1x, find f '(x)
*Wednesday, January 14, 2015 by mock*

**calculus **

For f(x) = e2sin(x) use your graphing calculator to find the number of zeros for f '(x) on the closed interval [0, 2π].
*Wednesday, January 14, 2015 by mock*

**Calculus**

A balloon is rising at a constant speed of 5 ft/sec. A boy is cycling along a straight road at a constant speed of 15 ft/sec. When he passes under the balloon, it is 5 feet above him. Determine how fast the distance between the boy and the balloon is increasing 3 seconds after...
*Wednesday, January 14, 2015 by Lily*

**calculus **

1. Find f '(x) for f(x) = cos (3x3) 2. Find f '(x) for f(x) = ln(x4 + e2x
*Wednesday, January 14, 2015 by mock*

**Calculus II Help Please**

Only question I can't do on the assignment In pharmacokinetics the area under the graph of the drug concentration function with respect to time can be used to determine the total amount of the drug absorbed (the area is actually proportional to the amount of the drug ...
*Tuesday, January 13, 2015 by Anonymous*

**Calculus 1**

Write a function that has two infinite limits at two different x-values. Write a function where both one sided limits exist at some x value but the two sided limit do not. I don't understand how this would look, please help!
*Tuesday, January 13, 2015 by Roger*

**pre-calculus**

The passenger capsule at the very top is 135 meters above the ground. The diameter is 120 meters? How high is the center of the ferris wheel?
*Tuesday, January 13, 2015 by keli*

**Calculus**

Find the height of street light that is 12 feet tall. How tall is the light. Write in sentence form, do not forget units of measure.
*Monday, January 12, 2015 by Francine*

**Calculus**

Find the point on the parabola x+y^2=0 that is closest to the point (0,-3).
*Monday, January 12, 2015 by Anonymous*

**Calculus**

I get mixed up when graphing derivatives. If I'm given the graph of f how do I get f' and f"?
*Monday, January 12, 2015 by Anonymous*

**Calculus **

F(x) = 3/4x^4 –x^3 -3x^2 + 6x Determine the interval(s) where f(x) is increasing (if any) and the interval(s) where f(x) is decreasing (if any). How do I know where f(x) is increasing or decreasing?
*Monday, January 12, 2015 by Matthew*

**Calculus **

suppose a car is decelerating at a constant rate of 5 m/s^2 (i.e. its acceleration is -5m/s^2) . If the car has an initial velocity of 25m/s, how far does the car travel before coming to a full stop? So do I try to integrate the acceleration to find the velocity ?
*Monday, January 12, 2015 by Satesh Gobin*

**Calculus **

suppose a car is decelerating at a constant rate of 5 m/s^2 (i.e. its acceleration is -5m/s^2) . If the car has an initial velocity of 25m/s, how far does the car travel before coming to a full stop?
*Monday, January 12, 2015 by Satesh Gobin*

**Please check my Calculus**

1. Find the value(s) of c guaranteed by Rolle’s Theorem for f(x)=x^2+3x on [0, 2] A. c=-3/2 B. c=0, 3 C. Rolle’s Theorem doesn’t apply as f is not continuous on [0, 2] D. Rolle’s Theorem doesn’t apply as f(0) does not equal f(2) E. None of these I got ...
*Monday, January 12, 2015 by Anonymous *

**Please check my Calculus**

1. Which of the following describes the behavior of f(x)=x^3-x A. Relative maximum: x=0 B. Relative maximum: x=(1/sqrt(3)); Relative minimum: x=(-1/sqrt(3)) C. Relative maximum: x=(-1/sqrt(3)); Relative minimum: x=(1/sqrt(3)) D. Relative minimum: x=0 E. none of these I got C. ...
*Monday, January 12, 2015 by Anonymous*

**Please check my Calculus**

1. Find all points of inflection of the function f(x)=x^4+x^3 A. (0, 0) and (-½, -1/16) B. (-½, -1/16) C. (0, 0) D. (0, 0) and (-¾, -27/256) E. none of these I got A. I found the second derivative and solved for x and plugged in the values to find the ...
*Monday, January 12, 2015 by Anonymous*

**Please check my Calculus**

1. Find all points of inflection of the function f(x)=x^4-6x^3 A. (0, 0) B. (0, 0), (9/2, -2187/16) C. (3, -81) D. (0, 0), 3, -81) E. none of these I got D. I found the second derivative and solved for x and plugged values into original function to get points. 2. Find dy/dx ...
*Monday, January 12, 2015 by Anonymous*

**Please check my Calculus**

1. Find all points of inflection: f(x)=1/12x^4-2x^2+15 A. (2, 0) B. (2, 0), (-2, 0) C. (0, 15) D. (2, 25/3), (-2, 25/3) E. none of these I got D. I found the second derivative and equaled it to 0 and solved for x. I plugged the x values in to get my points. 2. Find the ...
*Monday, January 12, 2015 by Anonymous*

**Please check my Calculus**

1. Given f(x)=-6/x, choose the correct statement A. The graph of f is concave upward on the interval (negative infinity, 0) B. The graph of f is concave downward on the interval (negative infinity, 0) C. The graph of f is concave upward on the interval (negative infinity, ...
*Monday, January 12, 2015 by Anonymous*

**Please check my Calculus**

1. Find all critical values for f(x)=(9-x^2)^⅗ A. 0 B. 3 C. -3,3 D. -3, 0, 3 E. none of these I got D. I found the derivative and solved for critical numbers. 2. Find all intervals on which the graph of f(x)=(x-1)/(x+3) is concave upward A. (negative infinity, infinity) ...
*Monday, January 12, 2015 by Anonymous*

**Calculus**

Find the absolute maximum and absolute minimum of f on the interval (-4, -1]: f(x)=(x^3+8x^2+19x+12)/(x+4) A. Maximum: None; Minimum: (-2, -1) B. Maximum: (-4, 3); Minimum (-1, 0) C. Maximum: (-4, 3); Minimum: (-2, -1) D. Maximum: None; Minimum: (-1, 0) E. none of these
*Sunday, January 11, 2015 by Anonymous*

**Calculus**

Find the values of x that give relative extrema for the function f(x)=3x^5-5x^3 A. Relative maximum: x= 1; Relative minimum: x=sqrt(5/3) B. Relative maximum: x=-1; Relative minimum: x=1 C. Relative maxima: x=+or- 1; Relative minimum: x=0 D. Relative maximum: x=0; Relative ...
*Sunday, January 11, 2015 by Anonymous*

**college pre-calculus**

4x^2+4y^2-16x-24y+51=0 is the equation of a circle. where is the center of the circle and what is it's radius? A. center (2,3) radius=1/4 B. center (2,3) radius=1/2 C. center (-2,-3) radius=1/4 D. center (-2,-3) radius=1/2
*Sunday, January 11, 2015 by Derek*

**college pre-calculus**

if 1-1/x=2-2/x, then 3-3/x=? A. -3 B. -1/3 C. 0 D. 1/3 E. 3 idek how to do it?
*Sunday, January 11, 2015 by Derek*

**ap college pre-calculus**

if 3abs(x+4)=8, then x=? A. {-10,2} B. {-2,2} C. {-19,11} D. {-22,-14} which one? idek
*Sunday, January 11, 2015 by Derek*

**college pre-calculus**

simplify: (y+1)(y/1-y^2) which answer: A. Y/y-1 B. y/1-y C. y+1/y-1 D. -1 this is what i got y+1/1* Y/1-y^2=-1
*Sunday, January 11, 2015 by Derek*

**college pre-calculus**

simplify: 6-y/6/1/6-1/y 6-y/6*6y/y-6= 6y/6=y Is this correct help i need help!! answers: A. -y B. y C. -6/y D. -1/y which one?
*Sunday, January 11, 2015 by Derek*

**college pre-calculus **

simplify: square root (4/3)-square root (3/4) A. 2-sqaure root(3)/2 square root (3) B. square root (7/12) C. square root (3)/6 D. 2/square root (3) which answer? this is what i got square root (16/12)- square root (9/12)= square root (7/12)
*Sunday, January 11, 2015 by Derek*

**college pre-calculus help**

simplify: 6-y/6/1/6-1/y 6-y/6*6y/y-6= 6y/6=y Is this correct help i need help!!
*Sunday, January 11, 2015 by Derek*

**Calculus**

Use the graph of f(x)=x^2/(x^2-4) to determine on which of the following intervals Rolle’s Theorem applies. A. [0, 3] B. [-3, 3] C. [-3/2, 3/2] D. [-2, 2] E. none of these I know what the Rolle's Theorem is but I'm unsure on how you know if the function is ...
*Sunday, January 11, 2015 by Anonymous*

**Calculus**

Let f(x) be a polynomial function such that f(4)=-1, f’(4)=2 and f”(4)=0. If x<4, then f”(x)<0 and if x>4, then f”(x)>0. The point (-4, -1) is which of the following for the graph of f? A. relative maximum B. relative minimum C. critical value D...
*Sunday, January 11, 2015 by Anonymous*

**Calculus**

Let f(x) be a polynomial function such that f(-2)=5, f’(-2)=0 and f”(-2)=3. The point (-2, 5) is which of the following for the graph of f? A. relative maximum B. relative minimum C. intercept D. inflection point E. none of these
*Sunday, January 11, 2015 by Anonymous*

**Calculus**

Which statement is NOT true of the graph f(x)=(x+1)(x-3)^2? A. f has a relative maximum at (⅓, 256/27) B. f has a point of inflection at (3, 0) C. f has an intercept at (3, 0) D. f has a relative minimum at (3, 0) E. none of these For f'(x) I got 3x^2-10x+3 For f&...
*Sunday, January 11, 2015 by Anonymous*

**Calculus**

Consider f(x)=x^2/(x^2+a), a>0. Determine the effect on the graph of f if a is varied. A. Each y value is multiplied by a B. As a increases, the vertical tangent lines move further from the origin C. The graph of the curve is shifted sqrt(a) units to the left. D. As a ...
*Sunday, January 11, 2015 by Anonymous*

**Calculus**

Given f(x) = -1/x, find all c in the interval [-3, -½] that satisfies the Mean Value Theorem. A. c= -sqrt(3/2) B. c= +or- sqrt(3/2) C. The Mean Value Theorem doesn’t apply because f is not continuous at x=0 D. The Mean Value Theorem doesn’t apply because f(-&...
*Sunday, January 11, 2015 by Anonymous*

**Calculus**

A particle is moving along the x-axis according to the position function s(t)=3t^2-t^3. What is its maximum velocity? A. 1 B. 2 C. 3 D. 4 E. none of these I thought velocity was the derivative but I'm not sure with this problem.
*Sunday, January 11, 2015 by Anonymous*

**Calculus**

Find all points of extrema on the interval [0, 2pi] if y=x+sinx (-1.-1+(3pi/2)) (pi, pi) (-1,0) ((3pi/2), 0) none of these I got pi as my critical number but I'm confused with the intervals.
*Sunday, January 11, 2015 by Anonymous*

**Calculus**

Find dy/dx for 5x^2-2xy+7y^2=0 I'm getting confused with signs.
*Sunday, January 11, 2015 by Anonymous*

**Calculus**

Evaluate using the sum of a finite geometric series: The sum of 2^i on the range from i = 1 to n. Please Help! I don't know how to make the exponent in 2^i = to i-1!
*Saturday, January 10, 2015 by Marie*

**calculus**

Please how do i integrate this = ¡Ò (5 x⁶ + 2/x³ ) ? Thanks
*Saturday, January 10, 2015 by Joel*

**Math (calculus)**

If y = 2x^3 - 4x and dx/dt = 4, find dy/dt when x = 1. Please show me how to solve this problem with steps.
*Saturday, January 10, 2015 by Dan*

**Calculus**

Evaluate each telescoping sum: 1) Sum from i = 1 to 100 of (5^i - 5^(i-1)). I know that I could apply the (n(n+1))/2 summation rule to the 5^i part of the question and then plug in 100, but I am unsure what to do for the second half --> -5^(i-1)! Thank you for any help!
*Friday, January 9, 2015 by Lucy*

**college pre-calculus**

what is the equation of lowest degree with real coefficients if two of its roots are -1 and 1+i? A. x^3+x^2+2=0 B. x^-x^2-2=0 C. x^3-x+2=0 D. x^3-x^2+2=0 e. none of the above i dont get it is it (x+1) (1+i)
*Tuesday, January 6, 2015 by kyle*

**Calculus**

a balloon rises straight up to 5 ft/sec. and a crying child who lost the balloon is standing 40 ft away. how fast does the balloon move away from the child when it is 30 ft above the ground?
*Sunday, January 4, 2015 by Anon*

**calculus**

finding first derivative for functions y=x³In(5x)
*Saturday, January 3, 2015 by sharon*

**Calculus**

∫csc x cot^2 xdx
*Saturday, January 3, 2015 by Anonymous*

**calculus**

Y =-( x+2)² - 4 state clearly intercept x and intercept Y
*Saturday, January 3, 2015 by arul*

**Calculus**

The function h(x) = x^3+bx+d has a critical point at (2,-4). Determine the constants b and d and find the equation of h(x). I'm very confused and I do not have any idea on what the first step is.
*Friday, January 2, 2015 by Daniel*

**Calculus**

The function h(x) = x^3+bx+d has a critical point at (2,-4). Determine the constants b and d and find the equation of h(x). Show your work.
*Friday, January 2, 2015 by Daniel*

**calculus**

this is an exploration in my textbook that we are assigned to do. it basically means we are supposed to use our graphing calculator to help. my calculator won't work for some reason so I'm trying to do it without and cannot figure it out. the question is really ...
*Thursday, January 1, 2015 by emilia``*

**Calculus**

f(x)= x/(1+x)^2 c) find the intervals of concavity and the inflection points. My answers: f is concave downward on (- infinity, 2) and concave upward on (2, infinity). Inflection point: ( 2, 2/9)
*Wednesday, December 31, 2014 by Anonymous*

**Calculus**

I don't get how you get this part: f' = (1-x)/(1+x)^3 f" = [(-1)(x+1)^3 - 3(1-x)(x+1)^2]/(x+1)^6 = [-(x+1)+3(x-1)]/(x+1)^4 ( I don't understand how you got this!!) = (-x-1+3x-3)/(x+1)^4 = (2x-4)/(x+1)^4
*Wednesday, December 31, 2014 by Anonymous*

**Calculus**

What is the derivative of f(x)=(10-3x)/2• sqrt of (5-x)?
*Wednesday, December 31, 2014 by Anonymous*

**calculus**

I really don't know where to start or go with this question...There aren't any similar examples in my book so if you could walk me through it so I can be prepared for my test - that would be great! Thanks. (a) Approximate √26 by using the linearization of y=&#...
*Wednesday, December 31, 2014 by Tenley*

**Calculus**

How would I find out what the height of the pile would be after 5 minutes? A machine starts dumping sand at the rate of 20 m3/min, forming a pile in the shape of a cone. The height of the pile is always twice the length of the base diameter. The volume formula for a right ...
*Wednesday, December 31, 2014 by Peter*

**Calculus **

f(x)= x/(1+x)^2 a) find the intervals on which f is increasing or decreasing. Is it ....f is decreasing on the intervals (- infinity, -1) and (1, infinity)...f is increasing on the interval (-1, 1)....... b)find the local min and max values of f.. For f(-1) I got undefined... ...
*Wednesday, December 31, 2014 by Anonymous*

**Calculus**

a) find the intervals on which f is increasing or decreasing. Is it ....f is decreasing on the intervals (- infinity, -1) and (1, infinity)...f is increasing on the interval (-1, 1)....... b)find the local min and max values of f.. For f(-1) I got undefined... f(1)=1/4....... ...
*Wednesday, December 31, 2014 by Anonymous*

**Pre-Calculus**

How do you solve the equation(800+x)tan33=xtan35?
*Monday, December 29, 2014 by Angie*

**Calculus- Can you help me solve for dr/dt**

How fast does the radius of a spherical soap bubble change when you blow air into it at the rate of 15 cubic centimeters per second? Our known rate is dv/dt , the change in volume with respect to time, which is 15 cubic centimeters per second. The rate we want to find is dr/dt...
*Monday, December 29, 2014 by Rachel*

**calculus**

A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x^2h cm^3. Find the rate at which the volume of the box is changing when the edge length of the base is 12 cm, the edge length of the base is decreasing ...
*Monday, December 29, 2014 by Anonymous*

**calculus**

A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x^2h cm^3. Find the rate at which the volume of the box is changing when the edge length of the base is 4 cm, the edge length of the base is increasing ...
*Monday, December 29, 2014 by Anonymous*

**Calculus**

evaluate each of the following integral:- I= ∫((x^2+ 1)/(x^4+ 1))dx Y=∫(sinhxcoshx)dx/√(sinhx^4+coshx^4)
*Sunday, December 21, 2014 by NA*

**Calculus**

If 3x^2+y^2=7 evaluate ((d^2)y)/(dx^2) when x=1 and y=2
*Sunday, December 21, 2014 by John*

**calculus**

use implicit differentiation to find y=(x+8)^(3x)
*Sunday, December 21, 2014 by John*

**Calculus **

Determine the equation of the normal line y=x^2+5 at the point (2, 9) I got y= 4x+1
*Sunday, December 21, 2014 by Olivia*

**Calculus**

Determine the intersection, if any, of the planes with equations x + y - z + 12 = 0 and 2x + 4y - 3z + 8 = 0. I have no clue where to even begin. If someone could help and give me the steps to complete it, that would be greatly appreciated. Do I have to first simplify the ...
*Thursday, December 18, 2014 by Ad*

**Calculus**

Determine the intersection, if any, of the planes with equations x + y - z + 12 = 0 and 2x + 4y - 3z + 8 = 0. I have no clue where to even begin. If someone could help and give me the steps to complete it, that would be greatly appreciated. Do I have to first simplify the ...
*Thursday, December 18, 2014 by Ad*

**Pre-Calculus**

Can you create another pair of six-sided dice (different from the standard dice) that produces the exact same probabilities of the sums two through twelve appearing? The only rule is that the numbers on each face must be positive integers. I've been attempting this problem...
*Wednesday, December 17, 2014 by Evelyn*